Half the sum of a number and 10 is 8. Find the number
Let's call the number "x".
To find the number, we need to set up an equation based on the information given.
The sum of the number and 10 is written as: x + 10
Half of the sum of the number and 10 is written as: (x + 10)/2
Based on the given information, we know that half of the sum of the number and 10 is equal to 8.
Therefore, we can set up the equation:
(x + 10)/2 = 8
To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction:
x + 10 = 16
Next, we can subtract 10 from both sides of the equation:
x = 16 - 10
x = 6
Therefore, the number is 6.
To find the number, let's break down the given information step by step:
1. "Half the sum of a number and 10": Let's assume the number is represented by "x." The sum of the number and 10 is written as (x + 10).
2. "Half the sum of a number and 10 is 8": This can be translated into an equation: (1/2) * (x + 10) = 8.
Now, we can solve the equation to find the value of "x":
Step 1: Multiply both sides of the equation by 2 to eliminate the fraction: 2 * (1/2) * (x + 10) = 2 * 8.
Simplifying, we get x + 10 = 16.
Step 2: Subtract 10 from both sides of the equation to isolate the variable x:
x + 10 - 10 = 16 - 10.
Simplifying further, we get x = 6.
Therefore, the number x is 6.